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Finding the Fourth Proportional to 11,147.60, 15,405 and 8,348.24

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Solution

The fourth proportional to 11,147.60, 15,405 and 8,348.24 is: 11,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.60 : 15,405 = 8,348.24 : x
  2. Step 2: Convert to fraction form
    11,147.60/15,405 = 8,348.24/x
  3. Step 3: Cross multiply
    11,147.60x = 15,405 × 8,348.24
  4. Step 4: Simplify right side
    11,147.60x = 128,604,637.20
  5. Step 5: Solve for x
    x = 128,604,637.20/11,147.60
  6. Step 6: Final answer
    x = 11,536.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.